Monday, June 13, 2011

Computer Algebra and Differential Equations

Computer Algebra and Differential Equations
Author:
Edition:
Binding: Paperback
ISBN: 0521447577
Publisher: Cambridge University Press



Computer Algebra and differential equations


The Computer Algebra and Differential Equations meeting held in France in June 1992 (CADE-92) was the third of a series of biennial workshops devoted to recent developments in computer algebra systems. Computer Algebra and Differential Equations
The book provides a self-contained account of the formal theory of general, ie also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas. It presents for the first time in book form the theory of Pommaret bases, a special kind of Grbner bases closely related to Koszul homology, and contains an extensive discussion of the existence and uniqueness of solutions of formally well-posed initial value problems and a novel presentation of Vessiot's dual version of the Cartan-Khler theory. Special emphasis is put on a constructive approach leading to effective algorithms.
This book contains selected papers from that meeting. Three main topics are discussed. The first of these is the theory of D-modules. This offers an excellent way to effectively handle linear systems of partial differential equations. The second topic concerns the theoretical aspects of dynamical systems, with an introduction to Ecalle theory and perturbation analysis applied to differential equations and other nonlinear systems. The final topic is the theory of normal forms. Here recent improvements in the theory and computation of normal forms Download free Computer Algebra and Differential Equations (London Mathematical Society Lecture Note Series) from rapidshare, mediafire, 4shared
This book contains selected papers from that meeting. Three main topics are discussed. The first of these is the theory of D-modules. This offers an excellent way to effectively handle linear systems of partial differential equations Search and find a lot of computer books in many category availabe for free download
Here recent improvements in the theory and computation of normal forms

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